
The Department of Mathematics at The Ohio State University, in conjunction with the Mathematics Research Institute, will be running a program during the 2011-2012 academic year entitled Interactions Between Ergodic Theory, Number Theory and Noncommutative Geometry.
The first workshop on Dynamics on Homogeneous Spaces and Number Theory will take place September 12 - 16, 2011 in CH 240. Organizers include Vitaly Bergelson, James Cogdell, Avner Friedman, Roman Holowinsky, Wenzhi Luo, Henri Moscovici and Nimish Shah.
The second workshop on Noncommutative Geometry: Multiple Connections will take place May 7 - 18, 2012. The first week will emphasize the links between Noncommutative Geometry and Number Theory while the second week will emphasize the links between Noncommutative Geometry and Ergodic Theory. Schedule of talks is to be determined.
Collaborative work among the fields of Ergodic Theory and Number Theory, with applications to quantum chaos in particular, has recently led to new and exciting results. At the same time, surprising links with Noncommutative Geometry have been established via an interesting connection between the operator algebra formalism of quantum statistical mechanics and arithmetic.